Gem's and Julie's savings were in the ratio of 2 : 7. Both of them shared the cost of their older sister's souvenir equally. Gem's remaining savings was
15 as much as Julie's savings. What percentage of her savings did Gem spend? Correct the answer to 1 decimal place.
|
Gem |
Julie |
Difference |
Before |
2x4 = 8 u |
7x4 = 28 u |
5x4 = 20 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Gem and Julie shared the cost of their older sister's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Gem and Julie at first and in the end remains the same. Make the difference in the amounts between Gem and Julie at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Gem spent on the souvenir
= 8 u - 5 u
= 3 u
Percentage of her savings that Gem spent
=
38 x 100%
≈ 37.5%
Answer(s): 37.5%